有限 $\theta$ 和 $\mu$ 下的更多热规范场论:来自实时量子模拟
MORE Thermal Gauge Theories at Finite $θ$ and $μ$ from Real-Time Quantum Simulation
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中文总结 AI 辅助
本文提出一种从实时量子模拟数据重建有限温度、化学势和θ角的虚时演化方法,无需热态制备,并在格点Schwinger模型上验证其有效性。
中文摘要 AI 辅助
虚时演化可以通过精确积分变换从实时量子模拟中重建。我们将Guo、Shibu、Lin和Zhao的构造识别为哈密顿模拟的连续线性组合,并表明其缓慢的$1/t_{\rm cut}$收敛源于一个冗余的核分量。我们将该构造从纯态矩阵元扩展到热迹和关联函数。一个实时数据集随后通过经典后处理重建目标逆温度、欧几里得分离和化学势,使有限$(T,\theta,\mu)$物理在无需热态制备的情况下即可通过实时量子模拟触及。我们在单味和双味格点Schwinger模型上对该方法进行基准测试,包括带退极化噪声的电路级模拟。
英文摘要
Imaginary-time evolution can be reconstructed from real-time quantum simulations using exact integral transforms. We identify the construction of Guo, Shibu, Lin, and Zhao as a continuous linear combination of Hamiltonian simulations and show that its slow $1/t_{\rm cut}$ convergence arises from a redundant kernel component. We extend the construction from pure-state matrix elements to thermal traces and correlators. One real-time dataset then reconstructs targeted inverse temperatures, Euclidean separations, and chemical potentials through classical post-processing, bringing finite-$(T,θ,μ)$ physics within reach of real-time quantum simulation without thermal-state preparation. We benchmark the method on one- and two-flavor lattice Schwinger models, including circuit-level simulations with depolarizing noise.
发表机构
- Fermi National Accelerator Laboratory(费米国家加速器实验室)
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